Foundation June 2019 Paper 1 Q28
28 Here are two rectangles.
\(QR = 10\) cm
\(BC = PQ\)
The perimeter of \(ABCD\) is 26 cm
The area of \(PQRS\) is 45 cm2
Find the length of \(AB\). (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 8.5 | P1 | for process to use the area of \(PQRS\) to find the length of \(PQ\), eg \(10y = 45\) or \(45 \div 10\ (= 4.5)\) |
| P1 | for process to use the perimeter of \(ABCD\), eg \(2x + 2 \times \text{``}4.5\text{''} = 26\) or \(26 - 2 \times \text{``}4.5\text{''}\ (= 17)\) or \(26 \div 2\ (= 13)\) | |
| P1 | for process to use length of \(BC\) to find length of \(AB\), eg solves \(2x + 2 \times \text{``}4.5\text{''} = 26\) or \((26 - 2 \times \text{``}4.5\text{''}) \div 2\) or \(\text{``}13\text{''} - \text{``}4.5\text{''}\) | |
| A1 | for 8.5 or \(8\frac{1}{2}\) |
Additional guidance
For the first P1: Sets up equation for area
For the second P1: Uses perimeter of \(ABCD\)
For the A1: Accept \(\dfrac{17}{2}\)